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63635015420053 = 71147113911170809
BaseRepresentation
bin11100111100000001011100…
…11111010100100010010101
322100022110002122012111011221
432132000232133110202111
531320044002421420203
6343201304510130341
716255323001256350
oct1636005637244225
9270273078174157
1063635015420053
1119304505274760
127178a85ab09b1
1329679aa4cb14c
14119dd46075297
1575545d23dabd
hex39e02e7d4895

63635015420053 has 64 divisors (see below), whose sum is σ = 81832430960640. Its totient is φ = 48048153753600.

The previous prime is 63635015420027. The next prime is 63635015420083. The reversal of 63635015420053 is 35002451053636.

63635015420053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 63635015420053 - 213 = 63635015411861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 63635015419991 and 63635015420009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63635015420003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372465313 + ... + 372636121.

It is an arithmetic number, because the mean of its divisors is an integer number (1278631733760).

Almost surely, 263635015420053 is an apocalyptic number.

It is an amenable number.

63635015420053 is a deficient number, since it is larger than the sum of its proper divisors (18197415540587).

63635015420053 is a wasteful number, since it uses less digits than its factorization.

63635015420053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171898.

The product of its (nonzero) digits is 972000, while the sum is 43.

Adding to 63635015420053 its reverse (35002451053636), we get a palindrome (98637466473689).

The spelling of 63635015420053 in words is "sixty-three trillion, six hundred thirty-five billion, fifteen million, four hundred twenty thousand, fifty-three".

Divisors: 1 7 11 47 77 113 329 517 791 911 1243 3619 5311 6377 8701 10021 37177 42817 58421 70147 102943 170809 299719 408947 470987 720601 1132373 1195663 1878899 3296909 4838321 7926611 8028023 13152293 19301417 33868247 53221531 56196161 88308253 135109919 155606999 212315587 372550717 618157771 907166599 1089248993 1486209109 1711676989 6350166193 7313528953 9978832589 11981738923 17583590887 51194702671 69851828123 80448818483 123085136209 193419499757 563141729381 826428771689 1353936498299 5785001401823 9090716488579 63635015420053